I am Anuj Kumar Bhagat, a research scholar in the Department of Mathematics at IIT Delhi. I am working with Prof Ritumoni Sarma in Algebra and its applications to coding theory and cryptography. My research interests mainly include the following keywords: Algebra over a field, linear code, trace of an algebra, trace code, cyclotomic polynomials, cyclic codes, PKC, and McEliece Cryptosystem.